Greatest Common Factor of 67/85, 51/85, 84/85, 415/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/85, 51/85, 84/85, 415/88

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 67/85,51/85,84/85,415/88

Given fractions are 67/85,51/85,84/85,415/88

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 67,51,84,415

Greatest Common Factor of Numerators i.e. GCF of 67,51,84,415 is 1 .

LCM of Denominators means LCM of 85,85,85,88 as per the given fractions.

LCM of 85,85,85,88 is 7480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,51,84,415

GCF of Fractions 67/85,51/85,84/85,415/88 is 1/7480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 67,51,84,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,51,84,415 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 67,51,84,415 . The biggest common factor number is the GCF number.
So the greatest common factor 67,51,84,415 is 1.

Lets's calculate LCM of 85,85,85,88

5 85, 85, 85, 88
17 17, 17, 17, 88
1, 1, 1, 88

∴ So the LCM of the given numbers is 5 x 17 x 1 x 1 x 1 x 88 = 7480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7480

Therefore, the GCF of Fractions 67/85,51/85,84/85,415/88 is 1/7480

Least Common Multiple of 85,85,85,88 with GCF Formula

Least Common Multiple of 85,85,85,88 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,85,85,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,85,85,88) = 1

common factors(in case of two or more numbers have common factors) = 7225

GCF(85,85,85,88) x common factors =1 x 7225 = 7225

LCM(85,85,85,88) = ( 85 × 85 × 85 × 88 ) / 7225

LCM(85,85,85,88) = 54043000 / 7225

LCM(85,85,85,88) = 7480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 67/85, 51/85, 84/85, 415/88

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 67/85, 51/85, 84/85, 415/88?

Answer: GCF of Numerators as per given numbers 67/85, 51/85, 84/85, 415/88 is

GCF of Numerators i.e. for 67,51,84,415 is 1

LCM of denominators i.e. for 85,85,85,88 is 7480.

Thus, GCF of Fractions is 1/7480.Finally, GCF of Fractions for 67/85, 51/85, 84/85, 415/88 is 1/7480.